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A001581
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Winning moves in Fibonacci nim.
(Formerly M3374 N1359)
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2
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4, 10, 14, 20, 24, 30, 36, 40, 46, 50, 56, 60, 66, 72, 76, 82, 86, 92, 96, 102, 108, 112, 118, 122, 128, 132, 138, 150, 160, 169, 176, 186, 192, 196, 202, 206, 212, 218, 222, 228, 232, 238, 242, 248, 254, 260, 264, 270, 274, 280, 284, 290, 296, 300, 306, 310
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Pond and Howells, Fibonacci Nim, Fib. Quart., 3 (1965), 61-63.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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MAPLE
| A001581:=2*(1+z)*(3*z**5+2*z**3+z**2+z+2)/(z**6+z**5+z**4+z**3+z**2+z+1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
| Cf. A120904.
Sequence in context: A099439 A146763 A190346 * A114335 A099355 A161366
Adjacent sequences: A001578 A001579 A001580 * A001582 A001583 A001584
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 14 2006
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